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AP EAMCET201825 Apr 2018Morning ShiftPhysicsMechanical Properties of FluidsActual

Water stands upto height ' h ' behind the dam as shown in the figure. The front view of the dam gate is also shown in the adjoining figure. Density of water is ' ρ ' and acceleration due to gravity is ' g ' . If atmospheric pressure force is also considered, the point of application of total force acting on the dam due to water above ' o ' is_____

Options

  1. Ah 4
  2. Bh 3
  3. Ch
  4. Dh 2

Correct answer

B. h 3

Step-by-step solution

The force is applied is, F = 1 2 ρ g h 2 b , So That the torque about the base of the dam due to this force can be considered to act with a lever arm equal to h 3

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